WAEC Further Mathematics 2019 Question 24

Question 24

Coordinate Geometry

Which of these inequalities is represented by the shaded portion of the graph?

Diagram for this question
  1. A.2y + x − 3 < 0
  2. B.2y − x − 3 < 0
  3. C.2y − x + 3 < 0
  4. D.2y + x + 3 < 0
Show the answer and explanation

Answer: B (2y − x − 3 < 0)

Explanation

The boundary line passes through (−3, 0) and (0, 1.5), so it is 2y = x + 3. The shaded side is below the line, where 2y − x − 3 < 0.